Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Partitions into chains of a class of partially ordered sets

Authors: N. Metropolis, Gian-Carlo Rota, Volker Strehl and Neil White
Journal: Proc. Amer. Math. Soc. 71 (1978), 193-196
MSC: Primary 06A10; Secondary 05B99
MathSciNet review: 0551483
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let a cube of side k in $ {{\mathbf{R}}^n}$ be dissected into $ {k^n}$ unit cubes. The collection of all affine subspaces of $ {{\mathbf{R}}^n}$ determined by the faces of the unit cubes forms a lattice $ L(n,k)$ when ordered by inclusion. We explicitly construct a Dilworth partition into chains of $ L(n,k)$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 06A10, 05B99

Retrieve articles in all journals with MSC: 06A10, 05B99

Additional Information

PII: S 0002-9939(1978)0551483-6
Article copyright: © Copyright 1978 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia